Unified description of long-time tails and long-range correlation functions for sheared granular liquids

Details Unified description of long-time tails and long-range correlation functions for sheared granular liquids Unified description of long-time tails and long-range correlation functions for sheared granular liquids

2009-07-26

arxiv.org/abs/0907.4462v2

Physics

Condensed Matter

Statistical Mechanics

10 pages. to be published in Euro. Phys. J. E

Scientific paper

Unified description on the long-time tail of velocity autocorrelation function and the long-range correlation for the equal-time spatial correlation functions is developed based on the generalized fluctuating hydrodynamics. The cross-over of the long-time tail from $t^{-3/2}$ to $t^{-5/2}$ is predicted independent of the density, and the equal-time spatial density correlation function and the equal-time spatial velocity correlation function respectively satisfy $r^{-11/3}$ and $r^{-5/3}$ for large $r$ limit.

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